Order statistics for negative exponential distribution and its applications

Author

Xiangwei, Meng ; Jian, Guan ; Xinzheng, Wang

Author_Institution

Dept. of Electron. Eng., Naval Aeronaut. Eng. Inst., Yantai, China

Volume

1

fYear

2003

fDate

14-17 Dec. 2003

Firstpage

720

Abstract

The radar background noise is usually assumed as Gaussian distribution, and square law detection is taken, thus the reference sample falling in a sliding window used to estimate the noise power level follows an exponential distribution. In this paper, statistical analysis of order statistics for exponential distribution is carried out, the probability density function and moment generating function (mdf) of order statistics for exponential distribution are derived, the mean, estimation variance and ADT of order statistics are also given. Finally, its application for constant false alarm rate (CFAR) is discussed.

Keywords

Gaussian distribution; exponential distribution; noise; radar signal processing; statistical analysis; Gaussian distribution; constant false alarm rate; estimation variance; moment generating function; negative exponential distribution; noise power level; order statistics; probability density function; radar background noise; square law detection; statistical analysis; Background noise; Exponential distribution; Higher order statistics; Image processing; Probability density function; Radar detection; Radar signal processing; Random variables; Statistical analysis; Statistical distributions;

fLanguage

English

Publisher

ieee

Conference_Titel

Neural Networks and Signal Processing, 2003. Proceedings of the 2003 International Conference on

Conference_Location

Nanjing

Print_ISBN

0-7803-7702-8

Type

conf

DOI

10.1109/ICNNSP.2003.1279376

Filename

1279376